Finding the Third Proportional to 23,200 and 56,076

Step by Step Solution

1. Step 1: Write the proportion equation
   23,200 : 56,076 = 56,076 : x
2. Step 2: Convert to fraction form
   23,200/56,076 = 56,076/x
3. Step 3: Cross multiply
   23,200x = 56,076 × 56,076
4. Step 4: Simplify right side
   23,200x = 3,144,517,776
5. Step 5: Solve for x
   x = 3,144,517,776/23,200
6. Step 6: Final answer
   x = 135,539.56